public class ALTaskController {
    
    @AuraEnabled
    public static List<Task> getTasks(){
        List<Task> taskList = [SELECT Id,Subject,Description,OwnerId,ActivityDate,WhoId,Priority,Status,Type FROM Task WHERE ActivityDate <= NEXT_N_DAYS:3 AND Status != 'Completed' ORDER BY ActivityDate ASC];
        return taskList;
    }
    
    @AuraEnabled
    public static void updateDetails(List<String> lstRecordId) {
        List<Task> lstUpdate = new List<Task>();
        for(Task t : [SELECT Id, Status FROM Task WHERE Id IN : lstRecordId]){
            t.Status = 'Completed'; // Add fields which you want to update
            lstUpdate.add(t);
        }
        
        if(lstUpdate.size() > 0){
            update lstUpdate;
        }
        
    }
}

<aura:component controller="ALTaskController" implements="flexipage:availableForAllPageTypes,force:appHostable" access="global">
    <aura:attribute name="tasks" type="List" />
    <aura:handler name="init" value="{!this}" action="{!c.doInit}" />
    <aura:handler event="force:refreshView" action="{!c.doInit}" />
    
    <lightning:card class="accountCard" variant="Narrow" iconName="standard:task" footer="Card Footer">
        <aura:set attribute="title">
            Mine opgaver
        </aura:set>
        <aura:set attribute="actions">
            <lightning:buttonIcon iconName="utility:down" variant="border-filled" alternativeText="Show More"/>
        </aura:set>
        <aura:set attribute="body">
            <p class="slds-p-horizontal_small">
                <aura:iteration items="{!v.tasks}" var="task"> <!-- Use the Apex model and controller to fetch server side data -->
                    <lightning:tile label="{!task.Subject}" href="{!'/one/one.app?#/sObject/'+ task.Id + '/view'}">
                        <aura:set attribute="media">
                            <lightning:input type="checkbox" 
                                             name="input1" 
                                             title="Fuldført"
                                             value="{!task}"
                                             onchange="{!c.updateStatus}"/>
                            <!--<lightning:icon iconName="standard:task"/>-->
                        </aura:set>
                        <div class="demo-only demo-only--sizing slds-grid slds-wrap">
                            <div class="slds-size_3-of-12">
                                <div class=""><p class="slds-truncate">Forfaldsdato:</p></div>
                            </div>
                            <div class="slds-size_9-of-12">
                                <div class=""><p class="slds-truncate"><lightning:formattedDateTime value="{!task.ActivityDate}" year="numeric" month="numeric" day="numeric"/></p></div>
                            </div>
                            <div class="slds-size_3-of-12">
                                <div class=""><p class="slds-truncate">Status:</p></div>
                            </div>
                            <div class="slds-size_9-of-12">
                                <div class=""><p class="slds-truncate">{!task.Status}</p></div>
                            </div>
                            <div class="slds-size_3-of-12">
                                <div class=""><p class="slds-truncate">Kommentar:</p></div>
                            </div>
                            <div class="slds-size_9-of-12">
                                <div class="" title="{!task.Description}"><p class="slds-truncate">{!task.Description}</p></div>
                            </div>
                        </div>
                    </lightning:tile>
                </aura:iteration>
            </p>
        </aura:set>
        <aura:set attribute="footer">
        </aura:set>
    </lightning:card>
</aura:component>

({
	doInit: function(component, event, helper) {
        // Fetch the task list from the Apex controller
        helper.getTaskLists(component);
    },
    
    updateStatus: function(component, event, helper) {
        helper.updateTaskStatus(component, event);
    }
})

({
    // Fetch the accounts from the Apex controller
    getTaskLists: function(component) {
        var action = component.get('c.getTasks');
        // Set up the callback
        var self = this;
        action.setCallback(this, function(actionResult) {
            component.set('v.tasks', actionResult.getReturnValue());
        });
        $A.enqueueAction(action);
    },
    
    updateTaskStatus: function(component, event) {
        var rowRecord = event.getSource().get('v.value');
        console.log('rowRecord--->>> ' + JSON.stringify(rowRecord));
        var tid = rowRecord.Id;
        console.log('tid-> ' + tid);
        
        var action = component.get('c.updateDetails');
        action.setParams({
            "lstRecordId": tid
        });
        action.setCallback(this, function(response) {
            
            var state = response.getState();
            if (state === "SUCCESS") {
                console.log(state);
                $A.get('e.force:refreshView').fire();
            }
        });
        $A.enqueueAction(action);
    }
})